114015012342240 has 96 divisors (see below), whose sum is σ = 360544749536160. Its totient is φ = 30285699743744.

The previous prime is 114015012342227. The next prime is 114015012342337. The reversal of 114015012342240 is 42243210510411.

114015012342240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114015012342240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114015012342198 and 114015012342207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461999745 + ... + 462246464.

It is an arithmetic number, because the mean of its divisors is an integer number (3755674474335).

Almost surely, 2^{114015012342240} is an apocalyptic number.

114015012342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114015012342240 is an abundant number, since it is smaller than the sum of its proper divisors (246529737193920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114015012342240 is a wasteful number, since it uses less digits than its factorization.

114015012342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924246484 (or 924246476 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 114015012342240 its reverse (42243210510411), we get a palindrome (156258222852651).

The spelling of 114015012342240 in words is "one hundred fourteen trillion, fifteen billion, twelve million, three hundred forty-two thousand, two hundred forty".